Parameter Estimation in Marketing Models in the Presence of Influential Response Data: Robust Regression and Applications

In marketing models, the presence of aberrant response values or outliers in data can distort the parameter estimates or regression coefficients obtained by means of ordinary least squares. The authors demonstrate the potential usefulness of the robust regression analysis in treating influential response values in marketing data.

[1]  S. Weisberg,et al.  Residuals and Influence in Regression , 1982 .

[2]  P. Kotler.  Marketing Decision Making: A Model-building Approach , 1971 .

[3]  J. F. Wellington,et al.  Prediction, Linear Regression and the Minimum Sum of Relative Errors , 1977 .

[4]  R. Welsch,et al.  Efficient Bounded-Influence Regression Estimation , 1982 .

[5]  W. R. Buckland,et al.  Outliers in Statistical Data , 1979 .

[6]  R. Hogg.  Statistical Robustness: One View of its use in Applications Today , 1979 .

[7]  V. Mahajan,et al.  Parameter Estimation in Marketing Models in the Presence of Multicollinearity: An Application of Ridge Regression , 1977 .

[8]  D. F. Andrews,et al.  Finding the Outliers that Matter , 1978 .

[9]  W. Cleveland.  Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[10]  Ian Barrodale,et al.  Algorithm 478: Solution of an Overdetermined System of Equations in the l1 Norm [F4] , 1974, Commun. ACM.

[11]  Robert Fildes,et al.  Marketing Models and Econometric Research , 1977 .

[12]  Vijay Mahajan,et al.  New-Product Forecasting: Models and Applications , 1984 .

[13]  R. Rust,et al.  Distribution-Free Methods of Approximating Nonlinear Marketing Relationships , 1982 .

[14]  Harsharanjeet S. Jagpal.  Multicollinearity in Structural Equation Models with Unobservable Variables , 1982 .

[15]  R. Koenker,et al.  Asymptotic Theory of Least Absolute Error Regression , 1978 .

[16]  Joseph Barry Mason,et al.  Modern retailing: Theory and practice , 1978 .

[17]  Huynh Huynh,et al.  A comparison of four approaches to robust regression. , 1982 .

[18]  Subhash Sharma,et al.  Latent Root Regression: An Alternate Procedure for Estimating Parameters in the Presence of Multicollinearity , 1981 .

[19]  R. Hogg.  An Introduction to Robust Estimation , 1979 .

[20]  D. Montgomery,et al.  Augmented Robust Estimators , 1980 .

[21]  Randall L. Schultz,et al.  Marketing Models and Econometric Research , 1976 .

[22]  P. J. Huber.  Robust Estimation of a Location Parameter , 1964 .

[23]  P. J. Huber.  Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[24]  S. Weisberg,et al.  Residuals and Influence in Regression , 1982 .

[25]  D. F. Andrews,et al.  A Robust Method for Multiple Linear Regression , 1974 .

[26]  James E. Gentle,et al.  On least absolute values estimation , 1977 .

[27]  Subhash Sharma,et al.  STEMCOM: An Analytical Model for Marketing Control , 1982 .

[28]  P. Green,et al.  Conjoint Analysis in Consumer Research: Issues and Outlook , 1978 .

[29]  Richard Staelin,et al.  Judgment Based Marketing Decision Models: Problems and Possible Solutions , 1981 .

[30]  J. Gentle.  Least absolute values estimation: an introduction , 1977 .

[31]  Michael Stuart,et al.  Understanding Robust and Exploratory Data Analysis , 1984 .